Julián Mestre

  1. Improved bounds for stochastic matching.

    Authors: Jian Li, Julián Mestre
    Subjects: Data Structures and Algorithms
    Abstract

    In this paper we study stochastic matching problems that are motivated by
    applications in online dating and kidney exchange programs. We consider two
    probing models: edge probing and matching probing.

    Our main result is an algorithm that finds a matching-probing strategy
    attaining a small constant approximation ratio. An interesting aspect of our
    approach is that we compare the cost our solution to the best edge-probing
    strategy. Thus, we indirectly show that the best matching-probing strategy is
    only a constant factor away from the best edge-probing strategy.

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